Answer :
Sure! Let's go through the steps to solve the following question:
Perform the given operations and round to the appropriate number of sig figs.
[tex]\[ 101.2 + 18.702 \][/tex]
### Step 1: Perform the Addition
First, we add the two numbers together:
[tex]\[ 101.2 + 18.702 = 119.902 \][/tex]
### Step 2: Determine the Appropriate Number of Significant Figures
Next, we need to round the result to the correct number of significant figures. In addition and subtraction, the number of decimal places in the result should match the number with the least decimal places from the numbers being added or subtracted.
Here, 101.2 has 1 decimal place, and 18.702 has 3 decimal places. The number with the least decimal places (1 decimal place) determines the precision of our answer.
### Step 3: Round the Result
We round 119.902 to one decimal place:
[tex]\[ 119.902 \rightarrow 119.9 \][/tex]
Thus, the final answer is:
[tex]\[ 119.9 \][/tex]
To summarize:
- Add the numbers: [tex]\( 101.2 + 18.702 = 119.902 \)[/tex]
- Determine the least number of decimal places (1 in this case) from the inputs
- Round the result to 1 decimal place: [tex]\( 119.9 \)[/tex]
So, the final answer is:
[tex]\[ \boxed{119.9} \][/tex]
Perform the given operations and round to the appropriate number of sig figs.
[tex]\[ 101.2 + 18.702 \][/tex]
### Step 1: Perform the Addition
First, we add the two numbers together:
[tex]\[ 101.2 + 18.702 = 119.902 \][/tex]
### Step 2: Determine the Appropriate Number of Significant Figures
Next, we need to round the result to the correct number of significant figures. In addition and subtraction, the number of decimal places in the result should match the number with the least decimal places from the numbers being added or subtracted.
Here, 101.2 has 1 decimal place, and 18.702 has 3 decimal places. The number with the least decimal places (1 decimal place) determines the precision of our answer.
### Step 3: Round the Result
We round 119.902 to one decimal place:
[tex]\[ 119.902 \rightarrow 119.9 \][/tex]
Thus, the final answer is:
[tex]\[ 119.9 \][/tex]
To summarize:
- Add the numbers: [tex]\( 101.2 + 18.702 = 119.902 \)[/tex]
- Determine the least number of decimal places (1 in this case) from the inputs
- Round the result to 1 decimal place: [tex]\( 119.9 \)[/tex]
So, the final answer is:
[tex]\[ \boxed{119.9} \][/tex]
